Respuesta :

factor out the -3
(-3)(x^2-2x+3)

Answer:

[tex]-3(x^2-2x+3)[/tex]

Step-by-step explanation:

The given expression is

[tex]-3x^2+6x-9[/tex]

The GCF of the expression is -3.

[tex]-3(x^2-2x+3)[/tex]

Now, let us see if we can further factor the expression  [tex](x^2-2x+3)[/tex] or not

the middle term is -2x

And we can't write the factor of 3 which gives -2 on addition/subtraction and 3 on multiplication

Hence, it is a prime expression.

Therefore, the factored form is

[tex]-3(x^2-2x+3)[/tex]